New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that...

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences 2020-01, Vol.5 (1), p.455-460
Main Authors: Durur, Hülya, Kurt, Ali, Tasbozan, Orkun
Format: Article
Language:English
Subjects:
58J10
Conformable fractional derivative
KdV6 equation, Wave Solution
Sub-Equation method
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Summary:This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that satisfies almost all the basic properties of Newtonian classical derivative such as Leibniz rule, chain rule and etc. Also conformable derivative has some superiority over other popular fractional derivatives such as Caputo and Riemann-Liouville. In this paper all the computations are carried out by computer software called Mathematica.
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.1.00043